X^2+10x+y^2-4y+33=0

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Solution for X^2+10x+y^2-4y+33=0 equation: 


Simplifying
X2 + 10x + y2 + -4y + 33 = 0

Reorder the terms:
33 + X2 + 10x + -4y + y2 = 0

Solving
33 + X2 + 10x + -4y + y2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-33' to each side of the equation.
33 + X2 + 10x + -4y + -33 + y2 = 0 + -33

Reorder the terms:
33 + -33 + X2 + 10x + -4y + y2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + X2 + 10x + -4y + y2 = 0 + -33
X2 + 10x + -4y + y2 = 0 + -33

Combine like terms: 0 + -33 = -33
X2 + 10x + -4y + y2 = -33

Add '-10x' to each side of the equation.
X2 + 10x + -4y + -10x + y2 = -33 + -10x

Reorder the terms:
X2 + 10x + -10x + -4y + y2 = -33 + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 + -4y + y2 = -33 + -10x
X2 + -4y + y2 = -33 + -10x

Add '4y' to each side of the equation.
X2 + -4y + 4y + y2 = -33 + -10x + 4y

Combine like terms: -4y + 4y = 0
X2 + 0 + y2 = -33 + -10x + 4y
X2 + y2 = -33 + -10x + 4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -33 + -10x + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -33 + -10x + 4y + -1y2
X2 = -33 + -10x + 4y + -1y2

Simplifying
X2 = -33 + -10x + 4y + -1y2

Reorder the terms:
33 + X2 + 10x + -4y + y2 = -33 + -10x + 4y + -1y2 + 33 + 10x + -4y + y2

Reorder the terms:
33 + X2 + 10x + -4y + y2 = -33 + 33 + -10x + 10x + 4y + -4y + -1y2 + y2

Combine like terms: -33 + 33 = 0
33 + X2 + 10x + -4y + y2 = 0 + -10x + 10x + 4y + -4y + -1y2 + y2
33 + X2 + 10x + -4y + y2 = -10x + 10x + 4y + -4y + -1y2 + y2

Combine like terms: -10x + 10x = 0
33 + X2 + 10x + -4y + y2 = 0 + 4y + -4y + -1y2 + y2
33 + X2 + 10x + -4y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
33 + X2 + 10x + -4y + y2 = 0 + -1y2 + y2
33 + X2 + 10x + -4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
33 + X2 + 10x + -4y + y2 = 0

The solution to this equation could not be determined.

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